QJs
63.44%
Wins 62.97%, ties 0.93%
75s
36.56%
Wins 36.10%, ties 0.93%
QJs against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJs | 62.973 | 0.926 | 36.101 | 63.436 |
| 75s | 36.101 | 0.926 | 62.973 | 36.564 |
QJs and 75s are both suited hands. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
QJs is ahead, but 75s is far from dead: it takes 361 of every 1,000 deals outright. Ties are part of the picture: 0.93% of boards end in a split pot, and each side counts that as half a win.
By strength against a random hand, QJs holds place 28 of 169 and 75s holds place 124.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QJs | 17,253,000 | 254,000 | 9,891,000 |
| 75s | 9,891,000 | 254,000 | 17,253,000 |
Exact total: 16 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| QJs | 1.735 | 1.588 | 2.770 | 0.576 |
| 75s | 0.576 | 2.770 | 1.588 | 1.735 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Rainbow flops topped by a ten or better are the best for QJs (70.94%); low rainbow flops (nine high or lower) are the worst (36.61%). Low rainbow flops (nine high or lower) favor 75s, the hand that is behind overall.
| Flop | Share of flops | QJs wins | Ties | 75s wins | QJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 70.718 | 0.451 | 28.831 | 70.944 |
| Rainbow, nine or lower | 6.314 | 36.290 | 0.646 | 63.064 | 36.613 |
| Two-tone | 46.727 | 62.691 | 0.455 | 36.854 | 62.919 |
| Monotone | 5.273 | 58.851 | 3.564 | 37.585 | 60.633 |
| Paired | 17.091 | 63.728 | 2.182 | 34.090 | 64.819 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Relative to a random opponent, QJs changes by +3.18 points (baseline 60.26%) and 75s by -7.12 points (baseline 43.68%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJs, all flops | 63.436 | 60.259 | +3.177 | 1.05272 |
| QJs, rainbow, ten or higher | 70.944 | 60.259 | +10.685 | 1.17732 |
| QJs, rainbow, nine or lower | 36.613 | 60.259 | -23.646 | 0.60759 |
| QJs, two-tone | 62.919 | 60.259 | +2.660 | 1.04414 |
| QJs, monotone | 60.633 | 60.259 | +0.374 | 1.00621 |
| QJs, paired | 64.819 | 60.259 | +4.560 | 1.07567 |
| 75s, all flops | 36.564 | 43.676 | -7.112 | 0.83716 |
| 75s, rainbow, ten or higher | 29.056 | 43.676 | -14.620 | 0.66526 |
| 75s, rainbow, nine or lower | 63.387 | 43.676 | +19.711 | 1.45130 |
| 75s, two-tone | 37.081 | 43.676 | -6.595 | 0.84900 |
| 75s, monotone | 39.367 | 43.676 | -4.309 | 0.90134 |
| 75s, paired | 35.181 | 43.676 | -8.495 | 0.80550 |
Does a shared suit matter?
Of the deals of this matchup, 4 share a suit (QJs at 65.80%) and 12 do not (62.65%). QJs does better with a shared suit, by 3.15 points.
| Deals | Specific deals | Share of deals | QJs wins | Ties | 75s wins | QJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.284 | 1.028 | 33.688 | 65.798 |
| No shared suit | 12 | 75.00 | 62.203 | 0.891 | 36.906 | 62.649 |
How often this matchup comes up
How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are QJs against 75s, and 32 (0.0020%) if either hand may sit in either seat.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average QJs takes back $126.88 of it, which is $26.88 more than it put in, and 75s takes back $73.12, $26.88 less than it put in.
In 1,000 deals of exactly this matchup, expect about 630 won outright by QJs, about 361 won outright by 75s and about 9 split.
The same matchup from the other side
If you came looking for 75s against QJs, the numbers are the same with the hands swapped: 36.56% and 63.44%.
Keep exploring
The calculator link fills in QsJs against 7h5h, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 16 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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